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Finding the Fourth Proportional to 3,394.00, 4,681.09 and 2,049.54

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Solution

The fourth proportional to 3,394.00, 4,681.09 and 2,049.54 is: 2,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.00 : 4,681.09 = 2,049.54 : x
  2. Step 2: Convert to fraction form
    3,394.00/4,681.09 = 2,049.54/x
  3. Step 3: Cross multiply
    3,394.00x = 4,681.09 × 2,049.54
  4. Step 4: Simplify right side
    3,394.00x = 9,594,066.21
  5. Step 5: Solve for x
    x = 9,594,066.21/3,394.00
  6. Step 6: Final answer
    x = 2,826.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.